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Calculus

Derivatives

Concept Quizzes

Derivatives Warmup
Derivative by First Principle
Derivatives of Linear Functions
Derivatives of Polynomials
Derivatives of Rational Function
Derivatives of Exponential Functions
Derivatives of Logarithmic Functions
Derivatives of Trigonometric Functions
瞬时变化率
Graphical Interpretation of Derivatives
Discrete First Derivatives Warmup

Challenge Quizzes

Derivatives: Level 2 Challenges

Derivatives of Exponential Functions

What is the derivative of the function \(y=4e^x?\)

\( e^x \) \( 4e^x \) \( 4 \) \( 4e \)

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byBrilliant Staff

What is the derivative of the function \(y=e^{3x}?\)

\[ e^{3x} \] \[ 3e^x \] \[ 3e^{3} \] \[ 3e^{3x} \]

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byBrilliant Staff

What is the derivative of the function \(y=3^{x}?\)

\[ e^x\ln{3} \] \[ 3^x \] \ [3 x ^ \ ln {3} \] \[ x\cdot 3^{x-1} \]

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byBrilliant Staff

What is the derivative of the function \(y=6^{2x}?\)

\[ 6^{2x}\ln{6} \] \[ 2x \cdot 6^{2x-1} \] \[ 12^{2x}\ln{6} \] \[ 2\cdot 6^{2x}\ln{6} \]

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byBrilliant Staff

What is the derivative of the function \[y=x^{3}+9e^x?\]

\( 3x^2+9e^{x-1} \) \( 3x^3+9e^x \) \( 3x^2+e^x \) \( 3x^2+9e^x \)

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byBrilliant Staff

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